If  = , then A is:

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AAI ATC Junior Executive 21 Feb 2023 Shift 2 Official Paper
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  1. -120
  2. 120

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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Given:

 = 

Concept:

Use concept of Integration using substitution ..

Calculation:

Substitute  then

Integrate using multiplication rule.

Substitute 4t2 + 1 = u ⇒ t dt = 1/8 du then

Undo substitution of u .

Again Substitute 4t2 + 1 = u ⇒ t dt = 1/8 du then

Undo substitution of u .

Undo substitution of t .

Hence A = .

Hence the option (4) is correct.

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